Steinmann, P. , de Villiers, A. M., McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185, 104751. (doi: 10.1016/j.mechmat.2023.104751)
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Abstract
Configurational forces that drive the evolution of material structures such as defects are introduced into a geometrically-exact peridynamics framework. The concept of bond-number double-density facilitates the definition of a peridynamic potential energy functional that inherits the key features of its conventional (local) continuum and discrete counterparts. The spatial and material variations of the peridynamic potential energy functional give rise to familiar Piola- and Cauchy-type bond-wise interaction forces that enter the point-wise force balance in the spatial and material setting, respectively. It is shown that the point-wise material body force density is a result of a non-local pull-back of the bond-wise spatial interaction force, and thereby captures non-local contributions. Several key features of configurational peridynamics are demonstrated via a computational example and a comparison to conventional configurational continuum mechanics.
| Item Type: | Articles |
|---|---|
| Additional Information: | PS and AMcB acknowledge support from the UK Engineering and Physical Sciences Research Council grant EP/R008531/1 for the Glasgow Computational Engineering Centre. PS acknowledges support from the European Research Council (ERC) under the Horizon Europe programme (Grant-No. 101052785, project: SoftFrac) and by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 377472739/GRK 2423/1-2019. AdV acknowledges support from the National Research Foundation of South Africa (Grant number 121926). AJ gratefully acknowledges the support provided by the Scientific and Technological Research Council of Turkey (TUBITAK) Career Development Program, grant number 218M700. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | McBride, Professor Andrew and Steinmann, Professor Paul |
| Authors: | Steinmann, P., de Villiers, A. M., McBride, A. T., and Javili, A. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Mechanics of Materials |
| Publisher: | Elsevier |
| ISSN: | 0167-6636 |
| ISSN (Online): | 1872-7743 |
| Published Online: | 31 July 2023 |
| Copyright Holders: | Copyright © 2023 The Author(s) |
| First Published: | First published in Mechanics of Materials 185:104751 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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